Linear complementary pairs of codes over rings
P Hu, X Liu - Designs, Codes and Cryptography, 2021 - Springer
In this work, we first prove a necessary and sufficient condition for a pairs of linear codes
over finite rings to be linear complementary pairs (abbreviated to LCPs). In particular, a …
over finite rings to be linear complementary pairs (abbreviated to LCPs). In particular, a …
LCP of group codes over finite Frobenius rings
X Liu, H Liu - Designs, Codes and Cryptography, 2023 - Springer
Abstract A pair (C, D) of group codes in R [G] is called a linear complementary pair
(abbreviated to LCP) if C⊕ D= R [G], where R is a finite Frobenius ring, and G is a finite …
(abbreviated to LCP) if C⊕ D= R [G], where R is a finite Frobenius ring, and G is a finite …
Z2Z4-ACP of codes and their applications to the noiseless two-user binary adder channel
X Liu, P Hu - Discrete Mathematics, 2024 - Elsevier
Linear complementary pair (abbreviated to LCP) of codes were defined by Ngo et al. in
2015, and were proved that these pairs of codes can help to improve the security of the …
2015, and were proved that these pairs of codes can help to improve the security of the …
LCP of matrix product codes
H Liu, X Liu - Linear and Multilinear Algebra, 2022 - Taylor & Francis
In this paper, we firstly present a new criterion of linear complementary pairs (abbreviated to
LCP) of codes over finite fields. Our result for the linear complementary pairs of codes …
LCP) of codes over finite fields. Our result for the linear complementary pairs of codes …
Linear -intersection pairs of cyclic and quasi-cyclic codes over a finite field
MA Hossain, R Bandi - Journal of Applied Mathematics and Computing, 2023 - Springer
Linear ℓ-intersection pairs of codes serve as a generalization of linear complementary pairs
of codes and hulls. The ℓ represents the dimension of the intersection of a given pair of …
of codes and hulls. The ℓ represents the dimension of the intersection of a given pair of …
The -intersection Pairs of Constacyclic and Conjucyclic Codes
MA Hossain, R Bandi - arXiv preprint arXiv:2309.01985, 2023 - arxiv.org
A pair of linear codes whose intersection is of dimension $\ell $, where $\ell $ is a non-
negetive integer, is called an $\ell $-intersection pair of codes. This paper focuses on …
negetive integer, is called an $\ell $-intersection pair of codes. This paper focuses on …
LCP of constacyclic codes over finite chain rings
Let R be a finite commutative chain ring with unity and λ be a unit in R. In this paper, all non-
trivial linear complementary pair (LCP) of λ-constacyclic codes of arbitrary length over R …
trivial linear complementary pair (LCP) of λ-constacyclic codes of arbitrary length over R …
Linear complementary pairs of codes over a finite non-commutative Frobenius ring
S Bhowmick, X Liu - Journal of Applied Mathematics and Computing, 2024 - Springer
In this paper, we study linear complementary pairs (LCP) of codes over finite non-
commutative local rings. We further provide a necessary and sufficient condition for a pair of …
commutative local rings. We further provide a necessary and sufficient condition for a pair of …
Linear complementary pairs of constacyclic nD codes over a finite commutative ring
In this paper, a necessary condition which is sufficient as well for a pair of constacyclic 2-D
codes over a finite commutative ring R to be an LCP of codes has been obtained. Also, a …
codes over a finite commutative ring R to be an LCP of codes has been obtained. Also, a …
Linear Complementary Equi-Dual Codes
A Nikseresht, S Namazi, MB Khormaei - arXiv preprint arXiv:2408.05509, 2024 - arxiv.org
We call a linear code $ C $ with length $ n $ over a field $ F $, a linear complementary equi-
dual code, when there exists a linear code $ D $ over $ F $ such that $ D $ is permutation …
dual code, when there exists a linear code $ D $ over $ F $ such that $ D $ is permutation …